λ
Integer Codex

1,472,552

23 × 23 × 53 × 151
Abundant Even Composite

For 1,472,552, the 32 positive divisors have a total of 2,954,880. Removing 1,472,552 leaves 1,482,328, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 23 × 53 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,954,880
Proper Divisor Sum 1,482,328
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1472551 ← → #1472561

Radix Representation

Decimal 1472552
Binary 101100111100000101000 (21 bits)
Octal 0o5474050
Hexadecimal 0x167828

Divisor Catalog (32)

1 2 4 8 23 46 53 92 106 151 184 212 302 424 604 1,208 1,219 2,438 3,473 4,876 6,946 8,003 9,752 13,892 16,006 27,784 32,012 64,024 184,069 368,138 736,276 1,472,552

Collatz Trajectory (181 steps to reach 1)

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

1,472,552 736,276 368,138 184,069 552,208 276,104 138,052 69,026 34,513 103,540 51,770 25,885 77,656 38,828 19,414 9,707 29,122 14,561 43,684 21,842 10,921 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174 708,587 2,125,762 1,062,881 3,188,644 1,594,322 797,161 2,391,484 1,195,742 597,871 1,793,614 896,807 2,690,422 1,345,211 4,035,634 2,017,817

More profiles

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