7,931,028

2² × 3 × 7 × 263 × 359

Starting at 7,931,028, the Collatz iteration reaches 1 after 98 steps. The first transition is 3965514; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 263 × 359

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,288,960

Proper Divisor Sum 13,357,932

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7931017 ← → #7931041

Radix Representation

Decimal	7931028
Binary	11110010000010010010100 (23 bits)
Octal	0o36202224
Hexadecimal	0x790494

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 263 359 526 718 789 1,052 1,077 1,436 1,578 1,841 2,154 2,513 3,156 3,682 4,308 5,026 5,523 7,364 7,539 10,052 11,046 15,078 22,092 30,156 94,417 188,834 283,251 377,668 566,502 660,919 1,133,004 1,321,838 1,982,757 2,643,676 3,965,514 7,931,028

Collatz Trajectory (98 steps to reach 1)

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

7,931,028 3,965,514 1,982,757 5,948,272 2,974,136 1,487,068 743,534 371,767 1,115,302 557,651 1,672,954 836,477 2,509,432 1,254,716 627,358 313,679 941,038 470,519 1,411,558 705,779 2,117,338 1,058,669 3,176,008 1,588,004 794,002 397,001 1,191,004 595,502 297,751 893,254 446,627 1,339,882 669,941 2,009,824 1,004,912 502,456 251,228 125,614 62,807 188,422 94,211 282,634 141,317 423,952 211,976 105,988 52,994 26,497 79,492 39,746 19,873 59,620 29,810 14,905 44,716 22,358 11,179 33,538 16,769 50,308

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