31,742,756

2² × 1889 × 4201

31,742,756 factors as 2^2 × 1889 × 4201. Its 12 positive divisors give a proper-divisor sum of 23,849,704, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 1889 × 4201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 55,592,460

Proper Divisor Sum 23,849,704

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #31742747 ← → #31742771

Radix Representation

Decimal	31742756
Binary	1111001000101101100100100 (25 bits)
Octal	0o171055444
Hexadecimal	0x1E45B24

Divisor Catalog (12)

1 2 4 1,889 3,778 4,201 7,556 8,402 16,804 7,935,689 15,871,378 31,742,756

Collatz Trajectory (126 steps to reach 1)

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

31,742,756 15,871,378 7,935,689 23,807,068 11,903,534 5,951,767 17,855,302 8,927,651 26,782,954 13,391,477 40,174,432 20,087,216 10,043,608 5,021,804 2,510,902 1,255,451 3,766,354 1,883,177 5,649,532 2,824,766 1,412,383 4,237,150 2,118,575 6,355,726 3,177,863 9,533,590 4,766,795 14,300,386 7,150,193 21,450,580 10,725,290 5,362,645 16,087,936 8,043,968 4,021,984 2,010,992 1,005,496 502,748 251,374 125,687 377,062 188,531 565,594 282,797 848,392 424,196 212,098 106,049 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556

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