651,996

2² × 3³ × 6037

For 651,996, the 24 positive divisors have a total of 1,690,640. Removing 651,996 leaves 1,038,644, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 6037

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,690,640

Proper Divisor Sum 1,038,644

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #651971 ← → #651997

Radix Representation

Decimal	651996
Binary	10011111001011011100 (20 bits)
Octal	0o2371334
Hexadecimal	0x9F2DC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 6,037 12,074 18,111 24,148 36,222 54,333 72,444 108,666 162,999 217,332 325,998 651,996

Collatz Trajectory (154 steps to reach 1)

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

651,996 325,998 162,999 488,998 244,499 733,498 366,749 1,100,248 550,124 275,062 137,531 412,594 206,297 618,892 309,446 154,723 464,170 232,085 696,256 348,128 174,064 87,032 43,516 21,758 10,879 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079 165,238 82,619 247,858 123,929 371,788 185,894 92,947 278,842 139,421 418,264 209,132 104,566 52,283 156,850 78,425 235,276 117,638 58,819 176,458 88,229 264,688 132,344 66,172 33,086 16,543 49,630 24,815

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