4,102,724

2² × 47 × 139 × 157

Starting at 4,102,724, the Collatz iteration reaches 1 after 105 steps. The first transition is 2051362; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 47 × 139 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,432,320

Proper Divisor Sum 3,329,596

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #4102723 ← → #4102733

Radix Representation

Decimal	4102724
Binary	1111101001101001000100 (22 bits)
Octal	0o17515104
Hexadecimal	0x3E9A44

Divisor Catalog (24)

1 2 4 47 94 139 157 188 278 314 556 628 6,533 7,379 13,066 14,758 21,823 26,132 29,516 43,646 87,292 1,025,681 2,051,362 4,102,724

Collatz Trajectory (105 steps to reach 1)

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

4,102,724 2,051,362 1,025,681 3,077,044 1,538,522 769,261 2,307,784 1,153,892 576,946 288,473 865,420 432,710 216,355 649,066 324,533 973,600 486,800 243,400 121,700 60,850 30,425 91,276 45,638 22,819 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340

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