7,618,704

2⁴ × 3 × 23 × 67 × 103

7,618,704 factors as 2^4 × 3 × 23 × 67 × 103. Its 80 positive divisors give a proper-divisor sum of 13,427,568, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 67 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 21,046,272

Proper Divisor Sum 13,427,568

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7618691 ← → #7618711

Radix Representation

Decimal	7618704
Binary	11101000100000010010000 (23 bits)
Octal	0o35040220
Hexadecimal	0x744090

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 23 24 46 48 67 69 92 103 134 138 184 201 206 268 276 309 368 402 412 536 552 618 804 824 1,072 1,104 1,236 1,541 1,608 1,648 2,369 2,472 3,082 3,216 4,623 4,738 4,944 6,164 6,901 7,107 9,246 9,476 12,328 13,802 14,214 18,492 18,952 20,703 24,656 27,604 28,428 36,984

Collatz Trajectory (129 steps to reach 1)

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

7,618,704 3,809,352 1,904,676 952,338 476,169 1,428,508 714,254 357,127 1,071,382 535,691 1,607,074 803,537 2,410,612 1,205,306 602,653 1,807,960 903,980 451,990 225,995 677,986 338,993 1,016,980 508,490 254,245 762,736 381,368 190,684 95,342 47,671 143,014 71,507 214,522 107,261 321,784 160,892 80,446 40,223 120,670 60,335 181,006 90,503 271,510 135,755 407,266 203,633 610,900 305,450 152,725 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328

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