1,472,120

2³ × 5 × 13 × 19 × 149

For 1,472,120, the 64 positive divisors have a total of 3,780,000. Removing 1,472,120 leaves 2,307,880, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 19 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,780,000

Proper Divisor Sum 2,307,880

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1472117 ← → #1472137

Radix Representation

Decimal	1472120
Binary	101100111011001111000 (21 bits)
Octal	0o5473170
Hexadecimal	0x167678

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 149 152 190 247 260 298 380 494 520 596 745 760 988 1,192 1,235 1,490 1,937 1,976 2,470 2,831 2,980 3,874 4,940 5,662 5,960 7,748 9,685 9,880 11,324 14,155 15,496 19,370 22,648 28,310 36,803 38,740 56,620 73,606 77,480 113,240 147,212 184,015

Collatz Trajectory (181 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,472,120 736,060 368,030 184,015 552,046 276,023 828,070 414,035 1,242,106 621,053 1,863,160 931,580 465,790 232,895 698,686 349,343 1,048,030 524,015 1,572,046 786,023 2,358,070 1,179,035 3,537,106 1,768,553 5,305,660 2,652,830 1,326,415 3,979,246 1,989,623 5,968,870 2,984,435 8,953,306 4,476,653 13,429,960 6,714,980 3,357,490 1,678,745 5,036,236 2,518,118 1,259,059 3,777,178 1,888,589 5,665,768 2,832,884 1,416,442 708,221 2,124,664 1,062,332 531,166 265,583 796,750 398,375 1,195,126 597,563 1,792,690 896,345 2,689,036 1,344,518 672,259 2,016,778

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