7,856,402

2 × 53 × 137 × 541

Starting at 7,856,402, the Collatz iteration reaches 1 after 124 steps. The first transition is 3928201; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 137 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,116,952

Proper Divisor Sum 4,260,550

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7856399 ← → #7856411

Radix Representation

Decimal	7856402
Binary	11101111110000100010010 (23 bits)
Octal	0o35760422
Hexadecimal	0x77E112

Divisor Catalog (16)

1 2 53 106 137 274 541 1,082 7,261 14,522 28,673 57,346 74,117 148,234 3,928,201 7,856,402

Collatz Trajectory (124 steps to reach 1)

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

7,856,402 3,928,201 11,784,604 5,892,302 2,946,151 8,838,454 4,419,227 13,257,682 6,628,841 19,886,524 9,943,262 4,971,631 14,914,894 7,457,447 22,372,342 11,186,171 33,558,514 16,779,257 50,337,772 25,168,886 12,584,443 37,753,330 18,876,665 56,629,996 28,314,998 14,157,499 42,472,498 21,236,249 63,708,748 31,854,374 15,927,187 47,781,562 23,890,781 71,672,344 35,836,172 17,918,086 8,959,043 26,877,130 13,438,565 40,315,696 20,157,848 10,078,924 5,039,462 2,519,731 7,559,194 3,779,597 11,338,792 5,669,396 2,834,698 1,417,349 4,252,048 2,126,024 1,063,012 531,506 265,753 797,260 398,630 199,315 597,946 298,973

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